Gyrokinetic energy conservation and Poisson-bracket formulation

Technical Report · Tue Nov 01 04:00:00 EST 1988

DOI:https://doi.org/10.2172/6866694· OSTI ID:6866694

Brizard, A

An integral expression for the gyrokinetic total energy of a magnetized plasma with general magnetic field configuration perturbed by fully electromagnetic fields was recently derived through the use of a gyro-center Lie transformation. We show that the gyrokinetic energy is conserved by the gyrokinetic Hamiltonian flow to all orders in perturbed fields. This paper is concerned with the explicit demonstration that a gyrokinetic Hamiltonian containing quadratic nonlinearities preserves the gyrokinetic energy up to third order. The Poisson-bracket formulation greatly facilitates this demonstration with the help of the Jacobi identity and other properties of the Poisson brackets. 18 refs.

• Research Organization: Princeton Univ., NJ (USA). Plasma Physics Lab.
• DOE Contract Number: AC02-76CH03073
• OSTI ID: 6866694
• Report Number(s): PPPL-2569; ON: DE89004630
• Country of Publication: United States
• Language: English

Related Subjects

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONSERVATION LAWS
ELECTROMAGNETIC FIELDS
EQUATIONS
HAMILTONIANS
KINETIC EQUATIONS
MAGNETIC FIELD CONFIGURATIONS
MATHEMATICAL OPERATORS
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